1100221242320 has 40 divisors (see below), whose sum is σ = 2561792970024. Its totient is φ = 439438418432.

The previous prime is 1100221242269. The next prime is 1100221242331. The reversal of 1100221242320 is 232421220011.

It can be written as a sum of positive squares in 4 ways, for example, as 400770028096 + 699451214224 = 633064^2 + 836332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1100221242292 and 1100221242301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10102979 + ... + 10211298.

Almost surely, 2^{1100221242320} is an apocalyptic number.

1100221242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100221242320 is an abundant number, since it is smaller than the sum of its proper divisors (1461571727704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100221242320 is a wasteful number, since it uses less digits than its factorization.

1100221242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20314967 (or 20314961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1100221242320 its reverse (232421220011), we get a palindrome (1332642462331).

The spelling of 1100221242320 in words is "one trillion, one hundred billion, two hundred twenty-one million, two hundred forty-two thousand, three hundred twenty".